논문KCI 등재
ON PERMUTING 3-DERIVATIONS AND COMMUTATIVITY IN PRIME NEAR-RINGS
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초록
In this note, we introduce a permuting 3-derivation in near-rings and investigate the conditions for a near-ring to be a commutative ring.
Abstract
In this note, we introduce a permuting 3-derivation in near-rings and investigate the conditions for a near-ring to be a commutative ring.
참고문헌 (10)
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- M. Breˇsar, "Commuting maps: a survey", Taiwanese J. Math., 8(3), pp.361~397 (2004)
- Y. C¸ even, "Some properties of symmetric bi-(¾, ¿)-derivations in near-rings", Commun. Korean Math. Soc., 22(4), pp.487~491 (2007)
- 정용수, "On prime and semiprime rings with permuting 3-derivations", 대한수학회보, 44(4), pp.789~794 (2007), 대한수학회
- G. Pilz, "Near-rings, 2nd Ed" (1983)
- E. C. Posner, "Derivations in prime rings", Proc. Amer. Math. Soc., 통권 : 8, pp.1093~1100 (1957)
- M. U¸ckun, "On trace of symmetric bi-gamma-derivations in gammanear-rings", Houston J. Math., 33(2), pp.323~339 (2007)
- J. Vukman, "Symmetric bi-derivations on prime and semi-prime rings", Aequationes Math., 38, pp.245~254 (1989)
- J. Vukman, "Two results concerning symmetric bi-derivations on prime rings", Aequationes Math., 40, pp.181~189 (1990)
관련 논문AI추천
On permuting n-derivations in near-ringsMohammad Ashraf, Mohammad Aslam Siddeeque대한수학회 · 대한수학회논문집2013 · 제28권 제4호Structure of $3$-prime near-rings satisfying some identitiesAbdelkarim Boua대한수학회 · 대한수학회논문집2019 · 제34권 제1호Commutativity of Jordan ideals in 3-prime near-rings with derivationsAbdelkarim Boua대한수학회 · 대한수학회논문집2018 · 제33권 제1호On semiderivations in $3$-prime near-ringsAbdelkarim Boua, Mohammad Ashraf대한수학회 · 대한수학회논문집2016 · 제31권 제3호TWO-SIDED Γ-α-DERIVATIONS IN PRIME AND SEMIPRIME Γ-NEAR-RINGSAkin Alkan, Mustafa Kazaz대한수학회 · 대한수학회논문집2008 · 제23권 제4호Study of quotient near-rings with additive mapsAbdelilah Zerbane, Abdelkarim Boua, Abderrahmane Raji대한수학회 · 대한수학회논문집2024 · 제39권 제2호
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